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Open AccessArticle

Q-Extension of Starlike Functions Subordinated with a Trigonometric Sine Function

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Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam
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Faculty of Mathematics & Statistics, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam
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Department of Mathematics, Abdul Wali Khan University Mardan, 23200 Mardan, Pakistan
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Government Degree College Mardan, 23200 Mardan, Pakistan
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Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(10), 1676; https://doi.org/10.3390/math8101676
Received: 20 August 2020 / Revised: 23 September 2020 / Accepted: 27 September 2020 / Published: 1 October 2020
(This article belongs to the Special Issue Complex Analysis and Geometric Function Theory)
The main purpose of this article is to examine the q-analog of starlike functions connected with a trigonometric sine function. Further, we discuss some interesting geometric properties, such as the well-known problems of Fekete-Szegö, the necessary and sufficient condition, the growth and distortion bound, closure theorem, convolution results, radii of starlikeness, extreme point theorem and the problem with partial sums for this class. View Full-Text
Keywords: starlike functions; subordination; q-derivative operator; sine function starlike functions; subordination; q-derivative operator; sine function
MDPI and ACS Style

Islam, S.; Khan, M.G.; Ahmad, B.; Arif, M.; Chinram, R. Q-Extension of Starlike Functions Subordinated with a Trigonometric Sine Function. Mathematics 2020, 8, 1676. https://doi.org/10.3390/math8101676

AMA Style

Islam S, Khan MG, Ahmad B, Arif M, Chinram R. Q-Extension of Starlike Functions Subordinated with a Trigonometric Sine Function. Mathematics. 2020; 8(10):1676. https://doi.org/10.3390/math8101676

Chicago/Turabian Style

Islam, Saeed; Khan, Muhammad G.; Ahmad, Bakhtiar; Arif, Muhammad; Chinram, Ronnason. 2020. "Q-Extension of Starlike Functions Subordinated with a Trigonometric Sine Function" Mathematics 8, no. 10: 1676. https://doi.org/10.3390/math8101676

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